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nikitadnepr [17]
3 years ago
14

The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999.

Mathematics
2 answers:
kotykmax [81]3 years ago
4 0
As traffic volume increases, vehicle speed decreases!
Solnce55 [7]3 years ago
3 0

Answer:

As traffic volume increases, vehicle speed increases.

Step-by-step explanation:

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Solve the separable differential equation dtdx=x2+164 and find the particular solution satisfying the initial condition x(0)=9
maria [59]
\dfrac{dt}{dx} = x^2 + \frac{1}{64} \Rightarrow\ dt = \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ \\ \displaystyle \int 1 dt = \int \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ t = \dfrac{x^3}{3} + \frac{x}{64} + C

C = 9 because all the x terms go away.

t = \dfrac{x^3}{3} + \dfrac{x}{64} + 9
3 0
3 years ago
Some one help me pleaseeeeeeeeeee
julia-pushkina [17]

Answer:

slope = \frac{5}{2}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = \frac{4+1}{2-0} = \frac{5}{2}

3 0
2 years ago
A formula for a function y=f(x) is f(x)=x^2-10x,xless than or equal 5. Find f^-1(x) and indentify the domain and range of f^-1(x
evablogger [386]
F(x) =x² - 10x,  f⁻¹(x) =?

1st find the missing square of x²-10x, ==> (x-5)² - 25

y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5

Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}

6 0
2 years ago
Line g is shown on the graph.
bogdanovich [222]

The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.

<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>

Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:

Slope = m = change in y / change in x

y-intercept = b (the value of y when x = 0).

The coordinates of the two points on line g is given as:

(-3, 2) = (x1, y1)

(0, 5) = (x2, y2).

Find the slope (m) of the line:

Slope (m) = (5 - 2)/(0 - (-3))

Slope (m) = 3/3

Slope (m) = 1.

Y-intercept (b) = 5

Substitute m = 1 and = 5 into y = mx + b:

y = x + 5

The equation of the line in slope-intercept form is: y = x + 5.

Learn more about the slope-intercept equation on:

brainly.com/question/1884491

#SPJ1

5 0
1 year ago
1. 6 times a number is 30, what is the number?
statuscvo [17]

5 for the first one and 7 for the second hope this helps

6 0
2 years ago
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